Cover Image

On Twists of A Family of Elliptic Curves and Their $ L-$Function

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Qiu, Derong
Format:	Preprint
Published:	2015
Subjects:	Number Theory Algebraic Geometry 11G05 (primary), 14H52, 14G05, 14G10 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Some Diophantine Parameters of the Cyclic Torsion Subgroups of Odd Order of Elliptic Curves over $\mathbb{Q}$
by: Qiu, Derong
Published: (2008)

Intrinsic Subgroups and the $\ell$-adic Galois image
by: Greene, Jacob
Published: (2026)

Tate-Shafarevich results for quartic twists in characteristic $2$
by: Borges, Herivelto, et al.
Published: (2024)

Equidistribution in Families of Abelian Varieties and Uniformity
by: Kühne, Lars
Published: (2021)

Transcendental Brauer-Manin obstructions on singular K3 surfaces
by: Tawfik, Mohamed Alaa, et al.
Published: (2023)

Elliptic curves with a point of order 13 defined over cyclic cubic fields
by: Bruin, Peter, et al.
Published: (2021)

On the squareness of the discriminant of elliptic curves with an isogeny
by: González-Jiménez, Enrique
Published: (2026)

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields
by: Avci, Omer
Published: (2025)

The image of the adelic Galois representation of an elliptic curve with complex multiplication
by: Lozano-Robledo, Álvaro, et al.
Published: (2026)

Sesquilinear pairings on elliptic curves
by: Stange, Katherine E.
Published: (2024)

Moderate rank jumps on rational elliptic surfaces via construction of conics
by: Desjardins, Julie
Published: (2025)

The ranks of twists of an elliptic curve in characteristic $3$
by: Guardieiro, João Paulo
Published: (2025)

On the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q+1} = X^n(X^n + 1)$
by: Guardieiro, João Paulo, et al.
Published: (2026)

On the geometry of the Humbert surface of square discriminant
by: Frengley, Sam
Published: (2024)

Counting rational points on Hirzebruch-Kleinschmidt varieties over number fields
by: Herrero, Sebastián, et al.
Published: (2024)

Rational points on del Pezzo surfaces of degree four
by: Mitankin, Vladimir, et al.
Published: (2020)

Local data of elliptic curves under quadratic twist
by: Barrios, Alexander J., et al.
Published: (2025)

On the computation of endomorphism rings of abelian surfaces over finite fields
by: Anni, Samuele, et al.
Published: (2025)

Local-global principle for groups of type An over semi global fields
by: Suresh, V.
Published: (2024)

Points of low degree on curves over function fields
by: van Schaick, Sièna
Published: (2026)

A positive proportion of monic odd-degree hyperelliptic curves of genus $g \geq 4$ have no unexpected quadratic points
by: Laga, Jef, et al.
Published: (2024)

Odd and Even Elliptic Curves with Complex Multiplication
by: Zarhin, Yuri G.
Published: (2024)

Intersecting the torsion of elliptic curves
by: Garcia-Fritz, Natalia, et al.
Published: (2023)

Squares in arithmetic progression over quadratic extensions of number fields
by: González-Jiménez, Enrique
Published: (2026)

Common valuations of division polynomials
by: Naskręcki, Bartosz, et al.
Published: (2022)

Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4
by: Mitankin, Vladimir, et al.
Published: (2021)

On periods of Elliptic curves
by: Salaza, Daniel Barrera, et al.
Published: (2026)

Diagonal del Pezzo of degree 2 with a Brauer-Manin obstruction
by: Shaw, Harry C.
Published: (2024)

Arithmetics of homogeneous spaces over $p$-adic function fields
by: Linh, Nguyen Manh
Published: (2022)

Hilbert property for low-genus families and degree-one del Pezzo surfaces
by: Demeio, Julian, et al.
Published: (2025)

Curves of genus two with maps of every degree to a fixed elliptic curve
by: Howe, Everett W.
Published: (2026)

The Failure of Galois Descent for p-Selmer Groups of Elliptic Curves
by: Paterson, Ross
Published: (2021)

Non-isogenous superelliptic jacobians II
by: Zarhin, Yuri G.
Published: (2023)

Prime isogenous discriminant ideal twins
by: Barrios, Alexander J., et al.
Published: (2024)

Local-global principles for semi-integral points on Markoff orbifold pairs
by: Mitankin, Vladimir, et al.
Published: (2024)

Algorithms for $p$-adic Heights on Hyperelliptic Curves of Arbitrary Reduction
by: Bianchi, Francesca, et al.
Published: (2024)

Some cases of Oort's conjecture about Newton polygons
by: Pries, Rachel
Published: (2023)

Complete verification of strong BSD for many modular abelian surfaces over $\mathbf{Q}$
by: Keller, Timo, et al.
Published: (2023)

Turning non-smooth points into rational points
by: Hilario, Cesar
Published: (2024)

Producing supersingular curves of genus five
by: Booher, Jeremy, et al.
Published: (2024)